An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy

An adaptive boundary algorithm for the reconstruction of boundary and initial data using the method of fundamental solutions for the inverse Cauchy–Stefan problem

Published:2021-03-29 Issue:3 Volume:40 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Reddy G. M. M.,Nanda P.,Vynnycky M.^ORCID,Cuminato J. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40314-021-01454-1.pdf

Reference39 articles.

1. Ang DD, Dinh APN, Thanh DN (1996) An inverse Stefan problem: identification of boundary value. J Comput Appl Math 66(1):75–84

2. Beck JV, Blackwell B, Clair Jr CR (1985) Inverse heat conduction: ill-posed problems. New York Press

3. Cannon JR, Douglas J Jr (1967) The Cauchy problem for the heat equation. SIAM J Numer Anal 4:317–336

4. Cannon JR, Hill CD (1967) Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation. J Math Mech 17(17):1–19

5. Cannon JR, Primicerio M (1971) Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary. J Math Anal Appl 35(2):361–373

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Eulerian–Lagrangian method of fundamental solutions for the advection–diffusion equation with time dependent coefficients;Engineering Analysis with Boundary Elements;2024-07

2. A non-iterative methodology to reconstruct boundary shapes and conditions in isotropic linear elasticity based on the BEM;Engineering Analysis with Boundary Elements;2023-08

3. A Haar wavelets-based direct reconstruction method for the Cauchy problem of the Poisson equation;Discrete and Continuous Dynamical Systems - S;2023

4. Solving Geometric Inverse Problems with a Polynomial Based Meshless Method;Springer Proceedings in Mathematics & Statistics;2023

5. Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach;Computers & Mathematics with Applications;2022-10